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Finding the Fourth Proportional to 177.74, 245.52 and 141.15

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Solution

The fourth proportional to 177.74, 245.52 and 141.15 is: 194.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.74 : 245.52 = 141.15 : x
  2. Step 2: Convert to fraction form
    177.74/245.52 = 141.15/x
  3. Step 3: Cross multiply
    177.74x = 245.52 × 141.15
  4. Step 4: Simplify right side
    177.74x = 34,655.15
  5. Step 5: Solve for x
    x = 34,655.15/177.74
  6. Step 6: Final answer
    x = 194.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.